On the points of bifurcation along the sequence of rotating axisymmetric masses with magnetic fields

Details On the points of bifurcation along the sequence of rotating axisymmetric masses with magnetic fields On the points of bifurcation along the sequence of rotating axisymmetric masses with magnetic fields

Nov 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975prama...5..294k&link_type=abstract

Pramana, vol. 5, Nov. 1975, p. 294-302.

Physics

Branching (Physics), Magnetic Fields, Magnetohydrodynamics, Rotating Fluids, Virial Theorem, Axisymmetric Bodies, Dynamic Stability, Maclaurin Series, Magnetic Field Configurations

Scientific paper

It is shown that the points of bifurcation belonging to the third harmonics along the sequence of Maclaurin spheroids viewed from an inertial frame are distinct from the corresponding points along the Maclaurin sequence considered stationary in a rotating frame and occur at eccentricity e = 0.73113 and e = 0.99608; the Maclaurin spheroids having become dynamically unstable before the second point is reached. A toroidal magnetic field leaves these points unaffected, while a general poloidal field may either raise or lower these points of bifurcation.

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